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Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Level 3
The figure is made up of identical rectangles. The length of the rectangle is twice of its breadth. The area of the figure is 256 cm2. What is the perimeter of the figure?
4 m
Level 3
The figure, not drawn to scale, is made up of 3 squares, A, B and C. The length of one side of square A is twice the length of one side of square B. The length of one side of square B is twice the length of one side of square C. If the length of square B is 16 cm, find the area of the shaded parts of the figure.
4 m
Level 3
Mr Lim has three pieces of rope of length 80 cm, 140 cm and 180 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainder.
  1. What is the greatest possible length of each of the smaller pieces of rope?
  2. How many of the smaller pieces of rope of equal length can he get?
4 m
Level 3
Roger had some rope with a total length of 24 m. He used 23 of the rope to tie a wooden structure for outdoor cooking and 34 of the remaining rope to strengthen the pegs for his tent. How much rope did he have left? Give your answer in meters.
4 m
Level 3
John wants to cover a floor measuring 80 cm by 100 cm with square tiles of the same size. Given that he uses only whole tiles, find
  1. the largest possible length of the side of each tile.
  2. the number of tiles that are needed to cover the floor.
4 m
Level 3
What is the shortest length which can be divided into 2 cm, 4 cm or 8 cm portions without any remainder?
4 m
Level 3
Alyson, Clara and Joyce were each given a piece of string of equal length. Alyson cut hers into equal lengths of 2 m, Clara cut hers into equal lengths of 3 m, and Joyce cut hers into equal lengths of 5 m. If there were no remainder in each case, find the shortest length of string given to each of them.
4 m
Level 3
The total length of 3 ribbons and 6 wires is 300 cm. The length of a wire is 13 of the length of the ribbon. What is the total length of the 6 wires?
4 m
Level 3
Tanya takes 6 minutes to jog 1 round on the track while Joel takes 9 minutes to jog 1 round. Both of them started jogging around the track in the same direction and at the same time. How long would it take for them to meet each other for the first time at the starting point?
4 m
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Level 3
Red, blue and green cloths are sold in 40 cm, 70 cm and 100 cm long respectively. Ron wanted to buy equal length of each color. What is the least number of rolls of each color he must buy?
  1. Red cloth
  2. Blue cloth
  3. Green cloth
4 m
Level 3
Janine has a piece of cloth that is 543 cm long. She uses 384 cm to make a blouse. She wants to make another identical blouse. How much more cloth does she need?
4 m
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Level 3
Rachel cuts a piece of string into two pieces. The first piece is 4 m 24 cm long and the second piece is 4 m 3 cm long. What is the difference in the lengths of the two pieces of string? Give the answer in cm.
3 m
Level 3
A bookcase has 5 shelves. The first three shelves are 460 cm long each. The next two shelves have a total length of 2 m 45 cm. Find the total length of the 5 shelves. (Give the answer in metres and centimetres.)
3 m
Level 3
Harry cycled for 860 m while Jack cycled for 4 km 70 m. Find the total distance that they cycled in km and m.
3 m
Level 3
Jenny is 1 m 47 cm tall and Anna is 183 cm tall. Find their total height in m and cm.
3 m
Level 3
During a triathlon practice, John swam 1300 m, cycled 30 km 50 m and ran 5 km 20 m. What was the total distance he covered during the triathlon practice? Give the answer in km and m.
3 m
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
5 m